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Finding the Fourth Proportional to 279.36, 416.34 and 278.01

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Solution

The fourth proportional to 279.36, 416.34 and 278.01 is: 414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.36 : 416.34 = 278.01 : x
  2. Step 2: Convert to fraction form
    279.36/416.34 = 278.01/x
  3. Step 3: Cross multiply
    279.36x = 416.34 × 278.01
  4. Step 4: Simplify right side
    279.36x = 115,746.68
  5. Step 5: Solve for x
    x = 115,746.68/279.36
  6. Step 6: Final answer
    x = 414.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.